ON INTERVAL-VALUED FUZZY LATTICES
We discuss the relationship between interval-valued fuzzy ideals and interval-valued fuzzy congruence on a distributive lat-tice L and show that for a generalized Boolean algebra the lat-tice of interval-valued fuzzy ideals is isomorphic to the lattice of interval-valued fuzzy congruences. Finally w...
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| Veröffentlicht in: | Honam mathematical journal 2015-06, Vol.37 (2), p.187-205 |
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| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | kor |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | We discuss the relationship between interval-valued fuzzy ideals and interval-valued fuzzy congruence on a distributive lat-tice L and show that for a generalized Boolean algebra the lat-tice of interval-valued fuzzy ideals is isomorphic to the lattice of interval-valued fuzzy congruences. Finally we consider the products of interval-valued fuzzy ideals and obtain a necessary and su±cient condition for an interval-valued fuzzy ideal on the direct sum of lattices to be representable as a direct sum of interval-valued fuzzy ideals on each lattice. |
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| ISSN: | 1225-293X |